Greatest Common Factor Calculator
Calculate the Greatest Common Factor (GCF) of two or more numbers with step-by-step solutions.
Greatest Common Factor Calculator
Find the GCF of multiple numbers
What is the Greatest Common Factor?
The Greatest Common Factor (GCF), also known as the Greatest Common Divisor (GCD), is the largest positive integer that divides two or more numbers without leaving a remainder. It is most commonly used to simplify fractions.
How to Calculate
To find the GCF, list the prime factors of each number. The GCF is the product of the common prime factors. Example: GCF(12, 18) • 12 = 2 × 2 × 3 • 18 = 2 × 3 × 3 Common factors are 2 and 3. So, GCF is 2 × 3 = 6.
Quick Examples
Tips for Finding the GCF
- •The GCF cannot be larger than the smallest number in your set.
- •If the smaller number divides the larger number evenly, the smaller number is the GCF.
- •If the numbers have no common factors other than 1 (they are coprime), their GCF is 1.
- •The GCF of any number and 1 is always 1.
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